5y-6+y+22=7y+20-3y

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Solution for 5y-6+y+22=7y+20-3y equation: 


Simplifying
5y + -6 + y + 22 = 7y + 20 + -3y

Reorder the terms:
-6 + 22 + 5y + y = 7y + 20 + -3y

Combine like terms: -6 + 22 = 16
16 + 5y + y = 7y + 20 + -3y

Combine like terms: 5y + y = 6y
16 + 6y = 7y + 20 + -3y

Reorder the terms:
16 + 6y = 20 + 7y + -3y

Combine like terms: 7y + -3y = 4y
16 + 6y = 20 + 4y

Solving
16 + 6y = 20 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
16 + 6y + -4y = 20 + 4y + -4y

Combine like terms: 6y + -4y = 2y
16 + 2y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
16 + 2y = 20 + 0
16 + 2y = 20

Add '-16' to each side of the equation.
16 + -16 + 2y = 20 + -16

Combine like terms: 16 + -16 = 0
0 + 2y = 20 + -16
2y = 20 + -16

Combine like terms: 20 + -16 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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